A large mill is faced with the problem of extending $100,000 credit to a new customer, a dress manufacturer. The mill classifies typical companies into the categories; poor risk, average risk and good risk. Their experience indicates that 20 percent of similar companies are poor risks, 50% are average risks and 30% are good risks. If credit is extended, the expected profit for poor risks is -$15,000, for average risks $10,000 and for good risks $20,000. If credit is not extended, the dress manufacturers will turn to another mill. The mill is able to consult a credit rating organization for a fee of $2000.

Their experience with this credit rating company is given by the table which shows out of 100 companies examined what number were given a certain rating by the credit rating company and what their actual credit rating was.

Credit company evaluation	Actual credit rating
	Poor	Average	Good
Poor	10	20	6
Average	8	25	12
Good	2	5	12

1. Draw and properly label a decision tree.
2. Evaluate the decision tree.
3. Determine the optimal policy/decision.